Page 58 - Mathematics_Form_Two

Similarity

XZ 8 2 2. Find the value of n which makes
Ratio of longest sides: = =
EG 20 5 △PQR ∼△XYZ

YZ 6 2
Ratio of remaining sides: = =
FG 15 5
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The ratios of the corresponding sides
Mathematics for Secondary Schools Comparing PQR∆ and EFG.∆ = 10 = 4
PQR.
∆

are equal. Therefore, XYZ∆

PR
8
Ratio of shortest sides:
5
EF
QR
Ratio of longest sides:
=
=
20
5
EG
PQ 16 10 4 2
Ratio of remaining sides: = =
FG 15 3
The ratios of the corresponding sides
are not all equal. Therefore, PQR∆ and 3. Confirm if each of the following
∆ EFG are not similar. pairs are similar triangles.

Exercise 3�3 (a)

1. Study the following pairs of figures
determine whether they are similar
or not. Indicate the similarity
theorem used to support your
answer.

(b)

52
Student's Book Form Two

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MATHEMATIC F2 v5.indd 52